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Finding the Third Proportional to 253,515 and 557,430

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Solution

The third proportional to 253,515 and 557,430 is: 1,225,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,515 : 557,430 = 557,430 : x
  2. Step 2: Convert to fraction form
    253,515/557,430 = 557,430/x
  3. Step 3: Cross multiply
    253,515x = 557,430 × 557,430
  4. Step 4: Simplify right side
    253,515x = 310,728,204,900
  5. Step 5: Solve for x
    x = 310,728,204,900/253,515
  6. Step 6: Final answer
    x = 1,225,679.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.